I think binance coin has the features you are looking for.it does not fall easily.As the binance develops, its price increases.
BNB is very volatile too. Look to their charts.
https://coinmarketcap.com/currencies/binance-coin/Stable coins and those altcoins that has low liquidity have the lesser volatility. But for those low liquidity altcoins, pump and dump can start. It's not even safe because you will never know when dumping will start.
From top altcoins anyone can find a low volatile coin. From a coin history you could catch up with the low price of any top altcoins. We like volatile coins, but we don't like dumps. So we can wait until the price goes up. Invest in dump altcoins and hold it until you get enough profits.
It is the strategy as usual. You buy when there's a dumping recently for that altcoin you want to buy. Yes, there are low volatile coins that you can find with those top altcoins.
It's for them to decide if they will buy on it because the dumps are inevitable and it happens everywhere whether you buy good or bad altcoin, low or high in liquidity.